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Finding the Fourth Proportional to 17,682.75, 24,402.20 and 10,230.75

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Solution

The fourth proportional to 17,682.75, 24,402.20 and 10,230.75 is: 14,118.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.75 : 24,402.20 = 10,230.75 : x
  2. Step 2: Convert to fraction form
    17,682.75/24,402.20 = 10,230.75/x
  3. Step 3: Cross multiply
    17,682.75x = 24,402.20 × 10,230.75
  4. Step 4: Simplify right side
    17,682.75x = 249,652,756.50
  5. Step 5: Solve for x
    x = 249,652,756.50/17,682.75
  6. Step 6: Final answer
    x = 14,118.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.